Pith Number

pith:KFOED2LU

pith:2026:KFOED2LUF4LB2W25CCNAOGBM5Z

not attested not anchored not stored refs pending

Scalaron-modified null focusing and radial monotonicity in static f(R) gravity

Francisco S. N. Lobo, Francisco Tello-Ortiz, Jean B\'aez Cuevas, Maickol Mu\~noz-Palma

arxiv:2608.08818 v1 · 2026-08-09 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KFOED2LUF4LB2W25CCNAOGBM5Z}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity

Receipt and verification

First computed	2026-08-11T01:25:25.594232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

515c41e9742f161d5b5d109a07182cee448448b47f0eedc4e06d90b5fc73975c

Aliases

arxiv: 2608.08818 · arxiv_version: 2608.08818v1 · doi: 10.48550/arxiv.2608.08818 · pith_short_12: KFOED2LUF4LB · pith_short_16: KFOED2LUF4LB2W25 · pith_short_8: KFOED2LU

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KFOED2LUF4LB2W25CCNAOGBM5Z \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 515c41e9742f161d5b5d109a07182cee448448b47f0eedc4e06d90b5fc73975c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e4b92581d15789292ac38d235b11d4645a96f80e980a18f3d9d075bb0e40df6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-08-09T17:08:54Z",
    "title_canon_sha256": "65e6f79018e6929238ed4246bc71ee0ca5a07bde27801f23b5e636f9ca665444"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08818",
    "kind": "arxiv",
    "version": 1
  }
}